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Finding the Fourth Proportional to 200,707.77, 300,471.17 and 133,982.40

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Solution

The fourth proportional to 200,707.77, 300,471.17 and 133,982.40 is: 200,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,707.77 : 300,471.17 = 133,982.40 : x
  2. Step 2: Convert to fraction form
    200,707.77/300,471.17 = 133,982.40/x
  3. Step 3: Cross multiply
    200,707.77x = 300,471.17 × 133,982.40
  4. Step 4: Simplify right side
    200,707.77x = 40,257,849,697.91
  5. Step 5: Solve for x
    x = 40,257,849,697.91/200,707.77
  6. Step 6: Final answer
    x = 200,579.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.